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<div class="title">ArpackSelfAdjointEigenSolver.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2012 David Harmon &lt;dharmon@gmail.com&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_ARPACKGENERALIZEDSELFADJOINTEIGENSOLVER_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_ARPACKGENERALIZEDSELFADJOINTEIGENSOLVER_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;../../../../Eigen/Dense&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> RealScalar&gt; <span class="keyword">struct </span>arpack_wrapper;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixSolver, <span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> BisSPD&gt; <span class="keyword">struct </span>OP;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;}</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> MatrixSolver=SimplicialLLT&lt;MatrixType&gt;, <span class="keywordtype">bool</span> BisSPD=false&gt;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">class </span>ArpackGeneralizedSelfAdjointEigenSolver</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;{</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="comment">//typedef typename MatrixSolver::MatrixType MatrixType;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real RealScalar;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::plain_col_type&lt;MatrixType, RealScalar&gt;::type RealVectorType;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  ArpackGeneralizedSelfAdjointEigenSolver()</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;   : m_eivec(),</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;     m_eivalues(),</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;     m_isInitialized(false),</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;     m_eigenvectorsOk(false),</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;     m_nbrConverged(0),</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;     m_nbrIterations(0)</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  { }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  ArpackGeneralizedSelfAdjointEigenSolver(<span class="keyword">const</span> MatrixType&amp; A, <span class="keyword">const</span> MatrixType&amp; B,</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                                          <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nbrEigenvalues, std::string eigs_sigma=<span class="stringliteral">&quot;LM&quot;</span>,</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                               <span class="keywordtype">int</span> options=<a class="codeRef" href="../group__enums.html#ggae3e239fb70022eb8747994cf5d68b4a9a7f7d17fba3c9bb92158e346d5979d0f4">ComputeEigenvectors</a>, RealScalar tol=0.0)</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    : m_eivec(),</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      m_eivalues(),</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      m_isInitialized(false),</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      m_eigenvectorsOk(false),</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      m_nbrConverged(0),</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      m_nbrIterations(0)</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    compute(A, B, nbrEigenvalues, eigs_sigma, options, tol);</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  }</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160; </div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  ArpackGeneralizedSelfAdjointEigenSolver(<span class="keyword">const</span> MatrixType&amp; A,</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                                          <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nbrEigenvalues, std::string eigs_sigma=<span class="stringliteral">&quot;LM&quot;</span>,</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;                               <span class="keywordtype">int</span> options=<a class="codeRef" href="../group__enums.html#ggae3e239fb70022eb8747994cf5d68b4a9a7f7d17fba3c9bb92158e346d5979d0f4">ComputeEigenvectors</a>, RealScalar tol=0.0)</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    : m_eivec(),</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      m_eivalues(),</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      m_isInitialized(false),</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      m_eigenvectorsOk(false),</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      m_nbrConverged(0),</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      m_nbrIterations(0)</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  {</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    compute(A, nbrEigenvalues, eigs_sigma, options, tol);</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  }</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160; </div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160; </div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;  ArpackGeneralizedSelfAdjointEigenSolver&amp; compute(<span class="keyword">const</span> MatrixType&amp; A, <span class="keyword">const</span> MatrixType&amp; B,</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;                                                   <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nbrEigenvalues, std::string eigs_sigma=<span class="stringliteral">&quot;LM&quot;</span>,</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;                                        <span class="keywordtype">int</span> options=<a class="codeRef" href="../group__enums.html#ggae3e239fb70022eb8747994cf5d68b4a9a7f7d17fba3c9bb92158e346d5979d0f4">ComputeEigenvectors</a>, RealScalar tol=0.0);</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  ArpackGeneralizedSelfAdjointEigenSolver&amp; compute(<span class="keyword">const</span> MatrixType&amp; A,</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                                                   <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nbrEigenvalues, std::string eigs_sigma=<span class="stringliteral">&quot;LM&quot;</span>,</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                                        <span class="keywordtype">int</span> options=<a class="codeRef" href="../group__enums.html#ggae3e239fb70022eb8747994cf5d68b4a9a7f7d17fba3c9bb92158e346d5979d0f4">ComputeEigenvectors</a>, RealScalar tol=0.0);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160; </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160; </div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;  <span class="keyword">const</span> Matrix&lt;Scalar, Dynamic, Dynamic&gt;&amp; eigenvectors()<span class="keyword"> const</span></div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;ArpackGeneralizedSelfAdjointEigenSolver is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    eigen_assert(m_eigenvectorsOk &amp;&amp; <span class="stringliteral">&quot;The eigenvectors have not been computed together with the eigenvalues.&quot;</span>);</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    <span class="keywordflow">return</span> m_eivec;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;  }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  <span class="keyword">const</span> <a class="codeRef" href="../classEigen_1_1Matrix.html">Matrix&lt;Scalar, Dynamic, 1&gt;</a>&amp; eigenvalues()<span class="keyword"> const</span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;    eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;ArpackGeneralizedSelfAdjointEigenSolver is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    <span class="keywordflow">return</span> m_eivalues;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  }</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160; </div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;  Matrix&lt;Scalar, Dynamic, Dynamic&gt; operatorSqrt()<span class="keyword"> const</span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;SelfAdjointEigenSolver is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;    eigen_assert(m_eigenvectorsOk &amp;&amp; <span class="stringliteral">&quot;The eigenvectors have not been computed together with the eigenvalues.&quot;</span>);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;    <span class="keywordflow">return</span> m_eivec * m_eivalues.cwiseSqrt().asDiagonal() * m_eivec.adjoint();</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;  }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160; </div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;  Matrix&lt;Scalar, Dynamic, Dynamic&gt; operatorInverseSqrt()<span class="keyword"> const</span></div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;SelfAdjointEigenSolver is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;    eigen_assert(m_eigenvectorsOk &amp;&amp; <span class="stringliteral">&quot;The eigenvectors have not been computed together with the eigenvalues.&quot;</span>);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    <span class="keywordflow">return</span> m_eivec * m_eivalues.cwiseInverse().cwiseSqrt().asDiagonal() * m_eivec.adjoint();</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  }</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160; </div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  <a class="codeRef" href="../group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> info()<span class="keyword"> const</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;    eigen_assert(m_isInitialized &amp;&amp; <span class="stringliteral">&quot;ArpackGeneralizedSelfAdjointEigenSolver is not initialized.&quot;</span>);</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;    <span class="keywordflow">return</span> m_info;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  }</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160; </div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;  <span class="keywordtype">size_t</span> getNbrConvergedEigenValues()<span class="keyword"> const</span></div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_nbrConverged; }</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160; </div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;  <span class="keywordtype">size_t</span> getNbrIterations()<span class="keyword"> const</span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_nbrIterations; }</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160; </div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;  Matrix&lt;Scalar, Dynamic, Dynamic&gt; m_eivec;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  <a class="codeRef" href="../classEigen_1_1Matrix.html">Matrix&lt;Scalar, Dynamic, 1&gt;</a> m_eivalues;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;  <a class="codeRef" href="../group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> m_info;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;  <span class="keywordtype">bool</span> m_isInitialized;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;  <span class="keywordtype">bool</span> m_eigenvectorsOk;</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160; </div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;  <span class="keywordtype">size_t</span> m_nbrConverged;</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;  <span class="keywordtype">size_t</span> m_nbrIterations;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;};</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160; </div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160; </div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160; </div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160; </div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160; </div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> MatrixSolver, <span class="keywordtype">bool</span> BisSPD&gt;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;ArpackGeneralizedSelfAdjointEigenSolver&lt;MatrixType, MatrixSolver, BisSPD&gt;&amp;</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    ArpackGeneralizedSelfAdjointEigenSolver&lt;MatrixType, MatrixSolver, BisSPD&gt;</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;::compute(<span class="keyword">const</span> MatrixType&amp; A, <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nbrEigenvalues,</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;          std::string eigs_sigma, <span class="keywordtype">int</span> options, RealScalar tol)</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;{</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;    MatrixType B(0,0);</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;    compute(A, B, nbrEigenvalues, eigs_sigma, options, tol);</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;    </div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;}</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160; </div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160; </div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> MatrixSolver, <span class="keywordtype">bool</span> BisSPD&gt;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;ArpackGeneralizedSelfAdjointEigenSolver&lt;MatrixType, MatrixSolver, BisSPD&gt;&amp;</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;    ArpackGeneralizedSelfAdjointEigenSolver&lt;MatrixType, MatrixSolver, BisSPD&gt;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;::compute(<span class="keyword">const</span> MatrixType&amp; A, <span class="keyword">const</span> MatrixType&amp; B, <a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nbrEigenvalues,</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;          std::string eigs_sigma, <span class="keywordtype">int</span> options, RealScalar tol)</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;{</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  eigen_assert(A.cols() == A.rows());</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;  eigen_assert(B.cols() == B.rows());</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;  eigen_assert(B.rows() == 0 || A.cols() == B.rows());</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;  eigen_assert((options &amp;~ (EigVecMask | GenEigMask)) == 0</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;            &amp;&amp; (options &amp; EigVecMask) != EigVecMask</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;            &amp;&amp; <span class="stringliteral">&quot;invalid option parameter&quot;</span>);</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160; </div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;  <span class="keywordtype">bool</span> isBempty = (B.rows() == 0) || (B.cols() == 0);</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160; </div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;  <span class="comment">// For clarity, all parameters match their ARPACK name</span></div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;  <span class="comment">// Always 0 on the first call</span></div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;  <span class="keywordtype">int</span> ido = 0;</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160; </div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;  <span class="keywordtype">int</span> n = (int)A.cols();</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160; </div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;  <span class="comment">// User options: &quot;LA&quot;, &quot;SA&quot;, &quot;SM&quot;, &quot;LM&quot;, &quot;BE&quot;</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;  <span class="keywordtype">char</span> whch[3] = <span class="stringliteral">&quot;LM&quot;</span>;</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;    </div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;  <span class="comment">// Specifies the shift if iparam[6] = { 3, 4, 5 }, not used if iparam[6] = { 1, 2 }</span></div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;  RealScalar sigma = 0.0;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160; </div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;  <span class="keywordflow">if</span> (eigs_sigma.length() &gt;= 2 &amp;&amp; isalpha(eigs_sigma[0]) &amp;&amp; isalpha(eigs_sigma[1]))</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;  {</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;      eigs_sigma[0] = toupper(eigs_sigma[0]);</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;      eigs_sigma[1] = toupper(eigs_sigma[1]);</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160; </div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;      <span class="comment">// In the following special case we&#39;re going to invert the problem, since solving</span></div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;      <span class="comment">// for larger magnitude is much much faster</span></div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;      <span class="comment">// i.e., if &#39;SM&#39; is specified, we&#39;re going to really use &#39;LM&#39;, the default</span></div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;      <span class="comment">//</span></div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;      <span class="keywordflow">if</span> (eigs_sigma.substr(0,2) != <span class="stringliteral">&quot;SM&quot;</span>)</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;      {</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;          whch[0] = eigs_sigma[0];</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;          whch[1] = eigs_sigma[1];</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;      }</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;  }</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  {</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;      eigen_assert(<span class="keyword">false</span> &amp;&amp; <span class="stringliteral">&quot;Specifying clustered eigenvalues is not yet supported!&quot;</span>);</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160; </div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;      <span class="comment">// If it&#39;s not scalar values, then the user may be explicitly</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;      <span class="comment">// specifying the sigma value to cluster the evs around</span></div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;      <span class="comment">//</span></div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;      sigma = atof(eigs_sigma.c_str());</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160; </div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;      <span class="comment">// If atof fails, it returns 0.0, which is a fine default</span></div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;      <span class="comment">//</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;  }</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160; </div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;  <span class="comment">// &quot;I&quot; means normal eigenvalue problem, &quot;G&quot; means generalized</span></div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;  <span class="keywordtype">char</span> bmat[2] = <span class="stringliteral">&quot;I&quot;</span>;</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  <span class="keywordflow">if</span> (eigs_sigma.substr(0,2) == <span class="stringliteral">&quot;SM&quot;</span> || !(isalpha(eigs_sigma[0]) &amp;&amp; isalpha(eigs_sigma[1])) || (!isBempty &amp;&amp; !BisSPD))</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;      bmat[0] = <span class="charliteral">&#39;G&#39;</span>;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160; </div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;  <span class="comment">// Now we determine the mode to use</span></div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;  <span class="keywordtype">int</span> mode = (bmat[0] == <span class="charliteral">&#39;G&#39;</span>) + 1;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;  <span class="keywordflow">if</span> (eigs_sigma.substr(0,2) == <span class="stringliteral">&quot;SM&quot;</span> || !(isalpha(eigs_sigma[0]) &amp;&amp; isalpha(eigs_sigma[1])))</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;  {</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;      <span class="comment">// We&#39;re going to use shift-and-invert mode, and basically find</span></div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;      <span class="comment">// the largest eigenvalues of the inverse operator</span></div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;      <span class="comment">//</span></div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;      mode = 3;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;  }</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160; </div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  <span class="comment">// The user-specified number of eigenvalues/vectors to compute</span></div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;  <span class="keywordtype">int</span> nev = (int)nbrEigenvalues;</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160; </div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;  <span class="comment">// Allocate space for ARPACK to store the residual</span></div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;  Scalar *resid = <span class="keyword">new</span> Scalar[n];</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160; </div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;  <span class="comment">// Number of Lanczos vectors, must satisfy nev &lt; ncv &lt;= n</span></div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;  <span class="comment">// Note that this indicates that nev != n, and we cannot compute</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;  <span class="comment">// all eigenvalues of a mtrix</span></div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;  <span class="keywordtype">int</span> ncv = std::min(std::max(2*nev, 20), n);</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160; </div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;  <span class="comment">// The working n x ncv matrix, also store the final eigenvectors (if computed)</span></div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  Scalar *v = <span class="keyword">new</span> Scalar[n*ncv];</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;  <span class="keywordtype">int</span> ldv = n;</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160; </div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;  <span class="comment">// Working space</span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;  Scalar *workd = <span class="keyword">new</span> Scalar[3*n];</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;  <span class="keywordtype">int</span> lworkl = ncv*ncv+8*ncv; <span class="comment">// Must be at least this length</span></div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;  Scalar *workl = <span class="keyword">new</span> Scalar[lworkl];</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160; </div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;  <span class="keywordtype">int</span> *iparam= <span class="keyword">new</span> <span class="keywordtype">int</span>[11];</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;  iparam[0] = 1; <span class="comment">// 1 means we let ARPACK perform the shifts, 0 means we&#39;d have to do it</span></div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;  iparam[2] = std::max(300, (<span class="keywordtype">int</span>)std::ceil(2*n/std::max(ncv,1)));</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;  iparam[6] = mode; <span class="comment">// The mode, 1 is standard ev problem, 2 for generalized ev, 3 for shift-and-invert</span></div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160; </div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;  <span class="comment">// Used during reverse communicate to notify where arrays start</span></div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;  <span class="keywordtype">int</span> *ipntr = <span class="keyword">new</span> <span class="keywordtype">int</span>[11]; </div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160; </div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;  <span class="comment">// Error codes are returned in here, initial value of 0 indicates a random initial</span></div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;  <span class="comment">// residual vector is used, any other values means resid contains the initial residual</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;  <span class="comment">// vector, possibly from a previous run</span></div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;  <span class="keywordtype">int</span> info = 0;</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160; </div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;  Scalar scale = 1.0;</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;  <span class="comment">//if (!isBempty)</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;  <span class="comment">//{</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;  <span class="comment">//Scalar scale = B.norm() / std::sqrt(n);</span></div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;  <span class="comment">//scale = std::pow(2, std::floor(std::log(scale+1)));</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment"></span>  <span class="comment">//for (size_t i=0; i&lt;(size_t)B.outerSize(); i++)</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;  <span class="comment">//    for (typename MatrixType::InnerIterator it(B, i); it; ++it)</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;  <span class="comment">//        it.valueRef() /= scale;</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;  <span class="comment">//}</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160; </div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;  MatrixSolver OP;</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;  <span class="keywordflow">if</span> (mode == 1 || mode == 2)</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;  {</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;      <span class="keywordflow">if</span> (!isBempty)</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;          OP.compute(B);</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;  }</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (mode == 3)</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  {</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;      <span class="keywordflow">if</span> (sigma == 0.0)</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;      {</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;          OP.compute(A);</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;      }</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;      {</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;          <span class="comment">// Note: We will never enter here because sigma must be 0.0</span></div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;          <span class="comment">//</span></div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;          <span class="keywordflow">if</span> (isBempty)</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;          {</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;            MatrixType AminusSigmaB(A);</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;            <span class="keywordflow">for</span> (<a class="codeRef" href="../namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;A.rows(); ++i)</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;                AminusSigmaB.coeffRef(i,i) -= sigma;</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;            </div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;            OP.compute(AminusSigmaB);</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;          }</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;          <span class="keywordflow">else</span></div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;          {</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;              MatrixType AminusSigmaB = A - sigma * B;</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;              OP.compute(AminusSigmaB);</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;          }</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;      }</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;  }</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160; </div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;  <span class="keywordflow">if</span> (!(mode == 1 &amp;&amp; isBempty) &amp;&amp; !(mode == 2 &amp;&amp; isBempty) &amp;&amp; OP.info() != <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>)</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;      std::cout &lt;&lt; <span class="stringliteral">&quot;Error factoring matrix&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160; </div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;  <span class="keywordflow">do</span></div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;  {</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;    internal::arpack_wrapper&lt;Scalar, RealScalar&gt;::saupd(&amp;ido, bmat, &amp;n, whch, &amp;nev, &amp;tol, resid, </div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;                                                        &amp;ncv, v, &amp;ldv, iparam, ipntr, workd, workl,</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;                                                        &amp;lworkl, &amp;info);</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160; </div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;    <span class="keywordflow">if</span> (ido == -1 || ido == 1)</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;    {</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;      Scalar *in  = workd + ipntr[0] - 1;</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;      Scalar *out = workd + ipntr[1] - 1;</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160; </div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;      <span class="keywordflow">if</span> (ido == 1 &amp;&amp; mode != 2)</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;      {</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;          Scalar *out2 = workd + ipntr[2] - 1;</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;          <span class="keywordflow">if</span> (isBempty || mode == 1)</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;            <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out2, n) = <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n);</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;          <span class="keywordflow">else</span></div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;            <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out2, n) = B * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n);</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;          </div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;          in = workd + ipntr[2] - 1;</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;      }</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160; </div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;      <span class="keywordflow">if</span> (mode == 1)</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;      {</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;        <span class="keywordflow">if</span> (isBempty)</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;        {</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;          <span class="comment">// OP = A</span></div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;          <span class="comment">//</span></div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;          <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = A * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;        }</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;        {</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;          <span class="comment">// OP = L^{-1}AL^{-T}</span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;          <span class="comment">//</span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;          internal::OP&lt;MatrixSolver, MatrixType, Scalar, BisSPD&gt;::applyOP(OP, A, n, in, out);</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;        }</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;      }</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;      <span class="keywordflow">else</span> <span class="keywordflow">if</span> (mode == 2)</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;      {</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;        <span class="keywordflow">if</span> (ido == 1)</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;          <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n)  = A * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n);</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;        </div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;        <span class="comment">// OP = B^{-1} A</span></div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;        <span class="comment">//</span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;        <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.solve(<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n));</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;      }</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;      <span class="keywordflow">else</span> <span class="keywordflow">if</span> (mode == 3)</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;      {</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;        <span class="comment">// OP = (A-\sigmaB)B (\sigma could be 0, and B could be I)</span></div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;        <span class="comment">// The B * in is already computed and stored at in if ido == 1</span></div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;        <span class="comment">//</span></div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;        <span class="keywordflow">if</span> (ido == 1 || isBempty)</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;          <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.solve(<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n));</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;          <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.solve(B * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n));</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;      }</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;    }</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;    <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ido == 2)</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;    {</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;      Scalar *in  = workd + ipntr[0] - 1;</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;      Scalar *out = workd + ipntr[1] - 1;</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160; </div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;      <span class="keywordflow">if</span> (isBempty || mode == 1)</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;        <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n);</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;        <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = B * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n);</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;    }</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;  } <span class="keywordflow">while</span> (ido != 99);</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160; </div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;  <span class="keywordflow">if</span> (info == 1)</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;    m_info = <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea6a68dfb88a8336108a30588bdf356c57">NoConvergence</a>;</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (info == 3)</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;    m_info = <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea1c6e20706575a629b27a105f07f1883b">NumericalIssue</a>;</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (info &lt; 0)</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;    m_info = <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea580b2a3cafe585691e789f768fb729bf">InvalidInput</a>;</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (info != 0)</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;    eigen_assert(<span class="keyword">false</span> &amp;&amp; <span class="stringliteral">&quot;Unknown ARPACK return value!&quot;</span>);</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;  {</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;    <span class="comment">// Do we compute eigenvectors or not?</span></div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;    <span class="keywordtype">int</span> rvec = (options &amp; <a class="codeRef" href="../group__enums.html#ggae3e239fb70022eb8747994cf5d68b4a9a7f7d17fba3c9bb92158e346d5979d0f4">ComputeEigenvectors</a>) == <a class="codeRef" href="../group__enums.html#ggae3e239fb70022eb8747994cf5d68b4a9a7f7d17fba3c9bb92158e346d5979d0f4">ComputeEigenvectors</a>;</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160; </div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;    <span class="comment">// &quot;A&quot; means &quot;All&quot;, use &quot;S&quot; to choose specific eigenvalues (not yet supported in ARPACK))</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;    <span class="keywordtype">char</span> howmny[2] = <span class="stringliteral">&quot;A&quot;</span>; </div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160; </div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;    <span class="comment">// if howmny == &quot;S&quot;, specifies the eigenvalues to compute (not implemented in ARPACK)</span></div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;    <span class="keywordtype">int</span> *select = <span class="keyword">new</span> <span class="keywordtype">int</span>[ncv];</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160; </div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;    <span class="comment">// Final eigenvalues</span></div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;    m_eivalues.resize(nev, 1);</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160; </div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;    internal::arpack_wrapper&lt;Scalar, RealScalar&gt;::seupd(&amp;rvec, howmny, select, m_eivalues.data(), v, &amp;ldv,</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;                                                        &amp;sigma, bmat, &amp;n, whch, &amp;nev, &amp;tol, resid, &amp;ncv,</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;                                                        v, &amp;ldv, iparam, ipntr, workd, workl, &amp;lworkl, &amp;info);</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160; </div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;    <span class="keywordflow">if</span> (info == -14)</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;      m_info = <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea6a68dfb88a8336108a30588bdf356c57">NoConvergence</a>;</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;    <span class="keywordflow">else</span> <span class="keywordflow">if</span> (info != 0)</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;      m_info = <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea580b2a3cafe585691e789f768fb729bf">InvalidInput</a>;</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;    {</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;      <span class="keywordflow">if</span> (rvec)</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;      {</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;        m_eivec.resize(A.rows(), nev);</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;nev; i++)</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j&lt;n; j++)</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;            m_eivec(j,i) = v[i*n+j] / scale;</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;      </div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;        <span class="keywordflow">if</span> (mode == 1 &amp;&amp; !isBempty &amp;&amp; BisSPD)</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;          internal::OP&lt;MatrixSolver, MatrixType, Scalar, BisSPD&gt;::project(OP, n, nev, m_eivec.data());</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160; </div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;        m_eigenvectorsOk = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;      }</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160; </div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;      m_nbrIterations = iparam[2];</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;      m_nbrConverged  = iparam[4];</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160; </div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;      m_info = <a class="codeRef" href="../group__enums.html#gga85fad7b87587764e5cf6b513a9e0ee5ea671a2aeb0f527802806a441d58a80fcf">Success</a>;</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;    }</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160; </div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;    <span class="keyword">delete</span>[] select;</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  }</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160; </div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;  <span class="keyword">delete</span>[] v;</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;  <span class="keyword">delete</span>[] iparam;</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;  <span class="keyword">delete</span>[] ipntr;</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;  <span class="keyword">delete</span>[] workd;</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;  <span class="keyword">delete</span>[] workl;</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;  <span class="keyword">delete</span>[] resid;</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160; </div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;  m_isInitialized = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160; </div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;}</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160; </div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160; </div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;<span class="comment">// Single precision</span></div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;<span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span> <span class="keywordtype">void</span> ssaupd_(<span class="keywordtype">int</span> *ido, <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which,</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;    <span class="keywordtype">int</span> *nev, <span class="keywordtype">float</span> *tol, <span class="keywordtype">float</span> *resid, <span class="keywordtype">int</span> *ncv,</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;    <span class="keywordtype">float</span> *v, <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr,</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;    <span class="keywordtype">float</span> *workd, <span class="keywordtype">float</span> *workl, <span class="keywordtype">int</span> *lworkl,</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;    <span class="keywordtype">int</span> *info);</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160; </div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;<span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span> <span class="keywordtype">void</span> sseupd_(<span class="keywordtype">int</span> *rvec, <span class="keywordtype">char</span> *All, <span class="keywordtype">int</span> *select, <span class="keywordtype">float</span> *d,</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;    <span class="keywordtype">float</span> *z, <span class="keywordtype">int</span> *ldz, <span class="keywordtype">float</span> *sigma, </div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;    <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which, <span class="keywordtype">int</span> *nev,</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;    <span class="keywordtype">float</span> *tol, <span class="keywordtype">float</span> *resid, <span class="keywordtype">int</span> *ncv, <span class="keywordtype">float</span> *v,</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;    <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr, <span class="keywordtype">float</span> *workd,</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;    <span class="keywordtype">float</span> *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *ierr);</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160; </div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;<span class="comment">// Double precision</span></div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;<span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span> <span class="keywordtype">void</span> dsaupd_(<span class="keywordtype">int</span> *ido, <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which,</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;    <span class="keywordtype">int</span> *nev, <span class="keywordtype">double</span> *tol, <span class="keywordtype">double</span> *resid, <span class="keywordtype">int</span> *ncv,</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;    <span class="keywordtype">double</span> *v, <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr,</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;    <span class="keywordtype">double</span> *workd, <span class="keywordtype">double</span> *workl, <span class="keywordtype">int</span> *lworkl,</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;    <span class="keywordtype">int</span> *info);</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160; </div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;<span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span> <span class="keywordtype">void</span> dseupd_(<span class="keywordtype">int</span> *rvec, <span class="keywordtype">char</span> *All, <span class="keywordtype">int</span> *select, <span class="keywordtype">double</span> *d,</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;    <span class="keywordtype">double</span> *z, <span class="keywordtype">int</span> *ldz, <span class="keywordtype">double</span> *sigma, </div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;    <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which, <span class="keywordtype">int</span> *nev,</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;    <span class="keywordtype">double</span> *tol, <span class="keywordtype">double</span> *resid, <span class="keywordtype">int</span> *ncv, <span class="keywordtype">double</span> *v,</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;    <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr, <span class="keywordtype">double</span> *workd,</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;    <span class="keywordtype">double</span> *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *ierr);</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160; </div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160; </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160; </div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> RealScalar&gt; <span class="keyword">struct </span>arpack_wrapper</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;{</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> saupd(<span class="keywordtype">int</span> *ido, <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which,</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;      <span class="keywordtype">int</span> *nev, RealScalar *tol, Scalar *resid, <span class="keywordtype">int</span> *ncv,</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;      Scalar *v, <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr,</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;      Scalar *workd, Scalar *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *info)</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;  { </div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;    EIGEN_STATIC_ASSERT(!NumTraits&lt;Scalar&gt;::IsComplex, NUMERIC_TYPE_MUST_BE_REAL)</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;  }</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160; </div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> seupd(<span class="keywordtype">int</span> *rvec, <span class="keywordtype">char</span> *All, <span class="keywordtype">int</span> *select, Scalar *d,</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;      Scalar *z, <span class="keywordtype">int</span> *ldz, RealScalar *sigma,</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;      <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which, <span class="keywordtype">int</span> *nev,</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;      RealScalar *tol, Scalar *resid, <span class="keywordtype">int</span> *ncv, Scalar *v,</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;      <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr, Scalar *workd,</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;      Scalar *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *ierr)</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;  {</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;    EIGEN_STATIC_ASSERT(!NumTraits&lt;Scalar&gt;::IsComplex, NUMERIC_TYPE_MUST_BE_REAL)</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;  }</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;};</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160; </div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;<span class="keyword">template</span> &lt;&gt; <span class="keyword">struct </span>arpack_wrapper&lt;float, float&gt;</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;{</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> saupd(<span class="keywordtype">int</span> *ido, <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which,</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;      <span class="keywordtype">int</span> *nev, <span class="keywordtype">float</span> *tol, <span class="keywordtype">float</span> *resid, <span class="keywordtype">int</span> *ncv,</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;      <span class="keywordtype">float</span> *v, <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr,</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;      <span class="keywordtype">float</span> *workd, <span class="keywordtype">float</span> *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *info)</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;  {</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;    ssaupd_(ido, bmat, n, which, nev, tol, resid, ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, info);</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;  }</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160; </div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> seupd(<span class="keywordtype">int</span> *rvec, <span class="keywordtype">char</span> *All, <span class="keywordtype">int</span> *select, <span class="keywordtype">float</span> *d,</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;      <span class="keywordtype">float</span> *z, <span class="keywordtype">int</span> *ldz, <span class="keywordtype">float</span> *sigma,</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;      <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which, <span class="keywordtype">int</span> *nev,</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;      <span class="keywordtype">float</span> *tol, <span class="keywordtype">float</span> *resid, <span class="keywordtype">int</span> *ncv, <span class="keywordtype">float</span> *v,</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;      <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr, <span class="keywordtype">float</span> *workd,</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;      <span class="keywordtype">float</span> *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *ierr)</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;  {</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;    sseupd_(rvec, All, select, d, z, ldz, sigma, bmat, n, which, nev, tol, resid, ncv, v, ldv, iparam, ipntr,</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;        workd, workl, lworkl, ierr);</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  }</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;};</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160; </div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;<span class="keyword">template</span> &lt;&gt; <span class="keyword">struct </span>arpack_wrapper&lt;double, double&gt;</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;{</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> saupd(<span class="keywordtype">int</span> *ido, <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which,</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;      <span class="keywordtype">int</span> *nev, <span class="keywordtype">double</span> *tol, <span class="keywordtype">double</span> *resid, <span class="keywordtype">int</span> *ncv,</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;      <span class="keywordtype">double</span> *v, <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr,</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;      <span class="keywordtype">double</span> *workd, <span class="keywordtype">double</span> *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *info)</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;  {</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;    dsaupd_(ido, bmat, n, which, nev, tol, resid, ncv, v, ldv, iparam, ipntr, workd, workl, lworkl, info);</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;  }</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160; </div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> seupd(<span class="keywordtype">int</span> *rvec, <span class="keywordtype">char</span> *All, <span class="keywordtype">int</span> *select, <span class="keywordtype">double</span> *d,</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;      <span class="keywordtype">double</span> *z, <span class="keywordtype">int</span> *ldz, <span class="keywordtype">double</span> *sigma,</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;      <span class="keywordtype">char</span> *bmat, <span class="keywordtype">int</span> *n, <span class="keywordtype">char</span> *which, <span class="keywordtype">int</span> *nev,</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;      <span class="keywordtype">double</span> *tol, <span class="keywordtype">double</span> *resid, <span class="keywordtype">int</span> *ncv, <span class="keywordtype">double</span> *v,</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;      <span class="keywordtype">int</span> *ldv, <span class="keywordtype">int</span> *iparam, <span class="keywordtype">int</span> *ipntr, <span class="keywordtype">double</span> *workd,</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;      <span class="keywordtype">double</span> *workl, <span class="keywordtype">int</span> *lworkl, <span class="keywordtype">int</span> *ierr)</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;  {</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;    dseupd_(rvec, All, select, d, v, ldv, sigma, bmat, n, which, nev, tol, resid, ncv, v, ldv, iparam, ipntr,</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;        workd, workl, lworkl, ierr);</div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;  }</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;};</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160; </div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160; </div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixSolver, <span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> BisSPD&gt;</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;<span class="keyword">struct </span>OP</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;{</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;    <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> applyOP(MatrixSolver &amp;OP, <span class="keyword">const</span> MatrixType &amp;A, <span class="keywordtype">int</span> n, Scalar *in, Scalar *out);</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;    <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> project(MatrixSolver &amp;OP, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> k, Scalar *vecs);</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;};</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160; </div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixSolver, <span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;<span class="keyword">struct </span>OP&lt;MatrixSolver, MatrixType, Scalar, true&gt;</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;{</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> applyOP(MatrixSolver &amp;OP, <span class="keyword">const</span> MatrixType &amp;A, <span class="keywordtype">int</span> n, Scalar *in, Scalar *out)</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;{</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;    <span class="comment">// OP = L^{-1} A L^{-T}  (B = LL^T)</span></div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;    <span class="comment">// First solve L^T out = in</span></div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.matrixU().solve(<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(in, n));</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.permutationPinv() * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n);</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160; </div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;    <span class="comment">// Then compute out = A out</span></div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = A * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n);</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160; </div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;    <span class="comment">// Then solve L out = out</span></div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.permutationP() * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n);</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n) = OP.matrixL().solve(<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, 1&gt;::Map</a>(out, n));</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;}</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160; </div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> project(MatrixSolver &amp;OP, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> k, Scalar *vecs)</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;{</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;    <span class="comment">// Solve L^T out = in</span></div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;    <span class="comment">//</span></div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, Dynamic&gt;::Map</a>(vecs, n, k) = OP.matrixU().solve(<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, Dynamic&gt;::Map</a>(vecs, n, k));</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;    <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, Dynamic&gt;::Map</a>(vecs, n, k) = OP.permutationPinv() * <a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#aaf9fcc07dc13f89cf71d4a4e2b220d24">Matrix&lt;Scalar, Dynamic, Dynamic&gt;::Map</a>(vecs, n, k);</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;}</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160; </div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;};</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160; </div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixSolver, <span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;<span class="keyword">struct </span>OP&lt;MatrixSolver, MatrixType, Scalar, false&gt;</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;{</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> applyOP(MatrixSolver &amp;OP, <span class="keyword">const</span> MatrixType &amp;A, <span class="keywordtype">int</span> n, Scalar *in, Scalar *out)</div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;{</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;    eigen_assert(<span class="keyword">false</span> &amp;&amp; <span class="stringliteral">&quot;Should never be in here...&quot;</span>);</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;}</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160; </div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> project(MatrixSolver &amp;OP, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> k, Scalar *vecs)</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;{</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;    eigen_assert(<span class="keyword">false</span> &amp;&amp; <span class="stringliteral">&quot;Should never be in here...&quot;</span>);</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;}</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160; </div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;};</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160; </div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160; </div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160; </div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_ARPACKSELFADJOINTEIGENSOLVER_H</span></div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160; </div>
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